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ON MATHEMATICAL METHODS TO BALANCE EQUATIONS OF CHEMICAL REACTIONS – A COMPARISON AND WAY FORWARD

Authors:

Muhammad Mujtaba Shaikh, Mumtaz Yousaf

DOI NO:

https://doi.org/10.26782/jmcms.2023.01.00001

Abstract:

In this study, a comparative analysis is to be conducted between different mathematical techniques to find out the best one which can be more suitable from all perspectives to balance equations of chemical reactions and to provide case-to-case recommendations for the practitioners. The linear algebra approach, linear programming approach, and integer linear programming approach have been successfully utilized for chemical equation balancing.  Some chemical equations have been taken from the literature to see the performance of the above approaches. After highlighting the advantages and disadvantages of the existing approaches, some proposals for modification are presented. The proposed modifications have been worked out on all problems, and the integer solution is attained for all problems; even in cases where existing methods failed. The final recommendations on easier and better techniques have been provided. The two modified methods achieved top ratings among the existing and proposed methods.

Keywords:

Mathematical methods,Chemical equations,Linear Algebra,Linear Programming,Integer Linear Programming,FLOPs, Mathematical Chemistry,

Refference:

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UNET MOBILENETV2: MEDICAL IMAGE SEGMENTATION USING DEEP NEURAL NETWORK (DNN)

Authors:

Bikash Chandra Bag, Hirak Kumar Maity, Chaitali Koley

DOI NO:

https://doi.org/10.26782/jmcms.2023.01.00002

Abstract:

In this paper, the framework of polyp image segmentation is developed using a Deep neural network (DNN). Here Unet Mobile NetV2 is considered to evaluate the performance of the image from the CVC-612 dataset for the segmentation method. The proposed model outperformed earlier results. To compare our results two parameters, normally Dice co-efficient and Intersection over Union (IoU) are considered. The proposed model may be used for accurate computer-aided polyp detection and segmentation during colonoscopy examinations to find out abnormal tissue and thereby decrease the chances of polyps growing into cancer. MobileNetV2 significantly outperforms U-Net and MobileNetV2, two key state-of-the-art deep learning architectures, by achieving high evaluation scores with a dice coefficient of 89.71%, and an IoU of 81.64%.

Keywords:

Deep Neural network,Semantic segmentation,UNet MobileNetV2,

Refference:

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SIMULATION OF WAVE SOLUTIONS OF A MATHEMATICAL MODEL REPRESENTING ELECTRICAL ENGINEERING BY USING AN ANALYTICAL TECHNIQUE

Authors:

Md. Nur Alam

DOI NO:

https://doi.org/10.26782/jmcms.2023.01.00003

Abstract:

The existing article examines the mathematical model (MM) representing electrical engineering (EE). We implement the unified technique (UT) to discover new wave solutions (WS) and to erect numerous kinds of solitary wave phenomena (SWP) for the studied model (SM). The SM is one of the models that have vital applications in the area of EE. The taken features provide a firm mathematical framework and may be necessary to the WSs. As an outcome, we get new kinds of WSs from. With 3-d, density, contour, and 2-d for different values of time parameters, mathematical effects explicitly manifest the suggested algorithm's full reliability and large display. We implement a few figures in 3-d, density, contour, and 2-d for diverse values of time parameters to express that these answers have the properties of soliton waves.

Keywords:

The UT method,MM,the modified Zakharov-Kuznetsov equation,EE,WSs,

Refference:

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